Final answer:
To evaluate the function for x = m/4, substitute m/4 for x in the function[tex]f(x) = 8x^2 - 4x[/tex]and simplify to get the result [tex]m^2/2 - m.[/tex]
Explanation:
To evaluate the function [tex]f(x) = 8x^2 - 4x[/tex] for x = m/4, we substitute m/4 for x in the function and simplify.
Substitute x with m/4:
[tex]f(m/4) = 8(m/4)^2 - 4(m/4)[/tex]
Simplify the equation:
[tex]f(m/4) = 8(m^2/16) - m[/tex]
[tex]f(m/4) = (8/16)m^2 - m[/tex]
[tex]f(m/4) = m^2/2 - m[/tex]
Therefore, the correct answer is D. [tex]m^2/2 - m.[/tex]
In 2.5 hours, Mr. Castelli drives a distance of 125 miles. He wants to know his average driving speed in meters per minute. Complete the table to find Mr. Castelli's average driving speed in meters per minute by using the units as a guide. [Note: 1 mile is approximately equal to 1.62 kilometers] miles per hourkilometers per hourmeters per hourmeters per minute
if 2/3 of the girls in class have brown eyes and 1/4 of the girls have blue eyes, what fraction of the girls in class have neither blue or brown eyes? need help
The fraction of the girls in class have neither blue or brown eye is 1 /12.
What is a fraction?A fraction represents a part of a number or any number of equal parts.
We have been given that if 2/3 of the girls in class have brown eyes and 1/4 of the girls have blue eyes.
We are asked the fraction of the girls in class have neither blue or brown eyes.
Thus, we get;
1 - ( 2/3 + 1 /4 )
= 1 - ( 8 / 12 + 3 / 12 )
= 1 - 11 / 12
= 12 / 12 - 11 /12
= 1 /12
Therefore,
the fraction of the girls in class have neither blue or brown eye is 1 /12.
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How old are you if you were born in 1995 and its 2017?
Answer:
22 years
Step-by-step explanation:
Number 1. Based on the marks, what can you assume to be true in each figure?
Find the opposite and reciprocal of -1.8.
What is the maximum value for a 64-bit number?
2.8y + 6 + 0.2y = 5y -15
What is the measure of angle WZX?
To pay for Sophia Maddie Paid a payment of $64 each month for one year how much did the sofa cost
Add 5/12 + 69/10 enter you answer below as a fraction in lowest terms using the slash ( / ) as the fraction bar
What is the expression in radical form? Enter your answer, in simplest form, in the box.
The expression in radical form is expressed as [tex](\sqrt[7]{7x^3y^2}) ^2[/tex]
Expressing the given expression in radical form means we need to introduce root into the expression:
According to the law of indices;
[tex](a^m)^n=a^{mn}\\a^\frac{m}{n}=\sqrt[n]{m}[/tex]
Given the indicinal expression:
[tex]=(7x^3y^2)^\frac{2}{7}\\ =(\sqrt[7]{7x^3y^2}) ^2[/tex]
Hence the expression in radical form is expressed as [tex](\sqrt[7]{7x^3y^2}) ^2[/tex]
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Planning for the possiblity that your home might get struck by lightning and catch on fire is part of a plan for _____.
a.
financing
b.
managing income
c.
managing liquidity
d.
protecting assets
Answer: Option 'D' is correct.
Step-by-step explanation:
Planning for the possiblity that your home might get struck by lightning and catch on fire is part of a plan for preventing assets.
As we know that due to lightning, fire can be caught into the house and house can be burnt along with so many assets.
Hence, it is a plan for protecting assets .
Therefore, Option 'D' is correct.
The angles below are supplementary. what is the value of x? a pair of supplementary angles is shown. one angle measures 5x plus 20 degrees, and the other angle measures 50 degrees. 4 6 14 22
The measure of the value 'x' for the supplementary angles will be 22. The correct option is D.
What are supplementary angles?If two angles add up to 180 degrees, they are said to be supplementary angles. When supplementary angles are combined, they form a straight angle (180 degrees).
In other words, if Angle 1 + Angle 2 = 180°, angles 1 and 2 are supplementary. Angles 1 and 2 are referred to as "supplements" in this case.
The measure of the value x will be calculated as:-
5x + 20 + 50 = 180
5x + 70 = 180
5x = 180 - 70
5x = 110
x = 110/5
x = 22
Hence, the value of x will be 22.
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Community gym charges a $50 membership fee and a $55 monthly fee. Workout gym charges a $200 membership fee and a $45 monthly fee. After how many months will the total amount of money paid to both gyms be the same? What will the amount be?
3+10+4-6
I am stuck help on this algebra expression
Write a function rule for that table.
Write the equation of the line that is perpendicular to 5x+8y=16 and passes through (-5,7).
Add. Write your answer in simplest form. 3/5 + 5/8
Numbers 1-30 are written on cards and placed in a bag. One card is drawn. Find each probability.
a. drawing an even number or a 1.
b. drawing an even number or a multiple of 7.
Answer:
A. [tex]\frac{8}{15}[/tex] There are 15 even number and then there is 1 so 16 possibilities in total.
B. [tex]\frac{19}{30}[/tex] There are 15 even numbers and there are 4 multiples of 7 so 19 in total.
The question requires calculating the probability of drawing an even number or a 1, and an even number or a multiple of 7 from cards numbered 1 to 30. For the first case, the probability is 16/30 and for the second case, it's 17/30, considering mutually exclusive events and counting each outcome only once.
The question involves calculating the probability of drawing specific cards from a set of numbered cards. To find the probability of a particular outcome, we divide the number of ways that outcome can occur by the total number of possible outcomes.
Probability of drawing an even number or a 1
In the set of numbers 1-30, there are 15 even numbers (2, 4, 6, ..., 30) and one number 1. Since the events 'drawing an even number' and 'drawing a 1' are mutually exclusive, we add the probabilities. There are 16 favorable outcomes (15 even numbers + 1), out of a total of 30 possible outcomes.
Probability = Number of favorable outcomes / Total number of outcomes
= 16/30
Probability of drawing an even number or a multiple of 7
Again, from numbers 1-30, we have 15 even numbers. The multiples of 7 up to 30 are 7, 14, 21, and 28. Of these, 14 and 28 are also even numbers and have already been counted. Therefore, we have 2 additional unique multiples of 7 (7 and 21) to consider. Thus, there are 17 favorable outcomes (15 even numbers + 2 unique multiples of 7).
Probability = 17/30
In a bag of candy, for every 13 chocolate pieces there are 6 vanilla pieces. What is the ratio of chocolate to vanilla?
Answer:
13:6
Step-by-step explanation:
I took the same quiz.
What percent of 52 is 12? Round your answer to the nearest tenth.
The percent of 52 which result in 12 would be 23%.
How to find the percentage from the total value?Suppose the value of which a thing is expressed in percentage is "a' the percent that considered thing is of "a" is b%. Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts.
We need to find the percent of 52 which result in 12.
Let the unknown number is represneted by b.
It can be written as;
52% x b = 12
52/100 x b = 12
0.52 x b = 12
b = 12/0.52
b = 23%
Therefore, the percent of 52 which result in 12 would be 23%.
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If a function f(x) is the temperature in degrees as a function of time in minutes. then the function f'(x) is
In the context of a function representing temperature over time, the derivative f'(x) indicates the rate of change of the temperature with respect to time.
If a function f(x) represents the temperature in degrees as a function of time in minutes, the function f'(x) represents the rate of change of temperature with respect to time. This implies that if you have the temperature reading from a thermometer at different times, f'(x) tells you how quickly the temperature is rising or falling at any given moment. The concept of the derivative as the rate of change applies to many types of functions beyond just temperature over time.
if my grade in math is a 51.32% and I get at least a 70% on my test. What percentage will my grade go up too? ( test are worth 45% )
.help me please thanks
what is another name for BD
Answer:
BD = DB
Step-by-step explanation:
Great question, it is always good to ask questions to get rid of any doubts that you may be having,
Assuming I am understanding the question correctly and assuming that we are talking about line segment. Line segments can be spelled or represented in any direction backwards or forwards. In this case we are talking about a line segment called BD therefore it can also be referred to as DB.
I hope this answered your question. If you have any more questions feel free to ask away at Brainly.
what is angle 1 and 2 to each other and how can you tell
a parking lot can hold cars and small trucks. the scatter plot shows how many cars and trucks parked at the parking lot each day for a week. What is the daily average number of trucks at the lot that week? round to the bearest tenth if neccessary.
the answer to your question that is above is 3.3
Answer:
Daily average number of trucks at the lot that week are 3.3
Step-by-step explanation:
Given a parking lot which can hold cars and small trucks. The scatter plot show parking lot each day for a week in the given graph. We have to find the daily average number of trucks at the lot that week.
In order to find the daily average we have to add the no. of trucks park daily in a week the take the average dividing by 7.
No. of trucks park in a parking lot day-by-day in week are
2, 3, 3, 4, 6, 2, 3
We take the average as
[tex]\frac{2+3+3+4+6+2+3}{7}=\frac{23}{7}=3.28\sim3.3[/tex]
Hence, daily average number of trucks at the lot that week are 3.3
Approximately how far is it from new york city to london? 500 miles 1,000 miles 3,000 miles 10,000 miles
What is an angle that is congruent to bgd?
Select all of the following that are statements. The sun comes up in the east. He is six years old. The moon is made of green cheese. Do well in math. 3x + 4 = 17 Open the door. 7 x 6 = 42